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  • © 2013

Control Theory for Engineers

A Primer

  • The book successfully covers the key concepts and results of Control Theory
  • This includes, in particular, the input-output representation, Routh's criteria, the PID compensator, gain and phase margins, stability and asymptotic stability, Lyapunov functions, controllability, linear state feedback, observer, output regulator, quadratic optimization, Kalman-Bucy filter, polynomial representation, disturbance rejection
  • The level of mathematics is geared to engineers, and the book gives various examples

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
  2. Modelling, Dynamical Systems and Input-Output Representation

    1. Front Matter

      Pages 1-1
    2. Basics in Dynamical System Modelling

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 3-16
    3. Finite Dimensional State-Space Models

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 17-44
    4. Input-Output Representation

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 45-67
  3. Stabilization by State-Space Approach

    1. Front Matter

      Pages 69-69
    2. Stability of an Equilibrium Point

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 71-95
    3. Continuous-Time Linear Dynamical Systems

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 97-131
    4. Discrete-Time Linear Dynamical Systems

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 133-164
    5. Quadratic Optimization and Linear Filtering

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 165-187
  4. Disturbance Rejection and Polynomial Approach

    1. Front Matter

      Pages 189-189
    2. Polynomial Representation

      • Brigitte d’Andréa-Novel, Michel De Lara
      Pages 191-226
  5. Back Matter

    Pages 227-257

About this book

Control Theory is at the heart of information and communication technologies of complex systems. It can contribute to meeting the energy and environmental challenges we are facing.

The textbook is organized in the way an engineer classically proceeds to solve a control problem, that is, elaboration of a mathematical model capturing the process behavior, analysis of this model and design of a control to achieve the desired objectives.

It is divided into three Parts. The first part of the text addresses modeling aspects through state space and input-output representations. The notion of the internal state of a system (for example mechanical, thermal or electrical), as well as its description using a finite number of variables, is also emphasized. The second part is devoted to the stability analysis of an equilibrium point. The authors present classical tools for stability analysis, such as linearization techniques and Lyapunov functions.

Central to Control Theory are the notions of feedback and of closed-loop, and the third part of the textbook describes the linear control synthesis in a continuous and discrete-time framework and also in a probabilistic context. Quadratic optimization and Kalman filtering are presented, as well as the polynomial representation, a convenient approach to reject perturbations on the system without making the control law more complex. Throughout the text, different examples are developed, both in the chapters and in the exercises.

Reviews

From the reviews:

“Researchers with a good mathematical background will like this work if they wish to learn the basics of control theory or just need a good reference book with fundamental results on hand. … the book is indeed a primer, and therefore it presents a basic set of topics that are typically addressed in a first course on control theory. … The book can be helpful as a source of simple examples and proofs for a teacher introducing control theory.” (Piotr Cholda, Computing Reviews, April, 2014)

Authors and Affiliations

  • , Centre de Robotique, MINES ParisTech, Paris Cedex 06, France

    Brigitte d'Andréa-Novel

  • Ecole des Ponts ParisTech, CERMICS, Marne la Vallée Cedex 2, France

    Michel De Lara

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access